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Finding the Third Proportional to 3,746,078,243,496 and 5,960,746,904,962.50

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Solution

The third proportional to 3,746,078,243,496 and 5,960,746,904,962.50 is: 9,484,720,114,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,078,243,496 : 5,960,746,904,962.50 = 5,960,746,904,962.50 : x
  2. Step 2: Convert to fraction form
    3,746,078,243,496/5,960,746,904,962.50 = 5,960,746,904,962.50/x
  3. Step 3: Cross multiply
    3,746,078,243,496x = 5,960,746,904,962.50 × 5,960,746,904,962.50
  4. Step 4: Simplify right side
    3,746,078,243,496x = 35,530,503,665,020,023,819,206,656
  5. Step 5: Solve for x
    x = 35,530,503,665,020,023,819,206,656/3,746,078,243,496
  6. Step 6: Final answer
    x = 9,484,720,114,084.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.